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Finding the Fourth Proportional to 70,078, 96,709.89 and 39,862.54

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Solution

The fourth proportional to 70,078, 96,709.89 and 39,862.54 is: 55,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,078 : 96,709.89 = 39,862.54 : x
  2. Step 2: Convert to fraction form
    70,078/96,709.89 = 39,862.54/x
  3. Step 3: Cross multiply
    70,078x = 96,709.89 × 39,862.54
  4. Step 4: Simplify right side
    70,078x = 3,855,101,858.52
  5. Step 5: Solve for x
    x = 3,855,101,858.52/70,078
  6. Step 6: Final answer
    x = 55,011.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.